Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

FUZZY INTUITIONISTIC ALMOST (r, s)-CONTINUOUS MAPPINGS

  • Received : 2012.10.10
  • Accepted : 2012.11.09
  • Published : 2013.02.15
Download PDF
⟨ Previous Next ⟩

Abstract

We introduce the concepts of fuzzy $(r,\;s)$-regular open sets and fuzzy almost $(r,\;s)$-continuous mappings on the intuitionistic fuzzy topological spaces in ${\check{S}}ostak^{\prime}s$ sense. Also we investigate the equivalent conditions of the fuzzy almost $(r,\;s)$-continuity.

Keywords

References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  2. K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), 14-32. https://doi.org/10.1016/0022-247X(81)90222-5
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  4. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, Gradation of openness: Fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242. https://doi.org/10.1016/0165-0114(92)90329-3
  5. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89. https://doi.org/10.1016/S0165-0114(96)00076-0
  6. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76.
  7. D. Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (1995), 899-909.
  8. H. Gurcay, D. Coker, and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378.
  9. E. P. Lee, Semiopen sets on intuitionistic fuzzy topological spaces in vs Sostak's sense, Journal of Fuzzy Logic and Intelligent Systems 14 (2004), 234-238.
  10. S. J. Lee and E. P. Lee, Fuzzy (r,s)-semicontinuous mappings on the intu- itionistic fuzzy topological spaces in .Sostak's sense, Journal of Fuzzy Logic and Intelligent Systems 16 (2006), 108-112. https://doi.org/10.5391/JKIIS.2006.16.1.108
  11. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  12. A. P. .Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103.
  13. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. DOUBLE SEMIOPEN SETS ON DOUBLE BITOPOLOGICAL SPACES vol.26, pp.4, 2013, https://doi.org/10.14403/jcms.2013.26.4.691
  2. DOUBLE PAIRWISE (r, s)(u, v)-SEMICONTINUOUS MAPPINGS vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.603